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In this paper we study some basic properties of bicomplex linear operators onbicomplex Hilbert spaces. Further we discuss some applications of Hahn-Banachtheorem on bicomplex Banach modules. We also introduce and discuss somebicomplex holomorphic function spaces and prove Littlewood's Subordinationprinciple for bicomplex Hardy space.

Bicomplex Linear Operators on Bicomplex Hilbert Spaces and Littlewood's Subordination Theorem